Publication: Fibrations on Banach manifolds
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2004-06
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Jaramillo Aguado, Jesús Ángel
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Pacific Journal of Mathematics
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Abstract
Let f be a split submersion between paracompact Banach manifolds. We obtain here various conditions for f to be a fiber bundle. First, we give general conditions in terms of path-liftings. As a consequence, we deduce several criteria: For example, f is a fiber bundle provided it satisfies either some topological requirements ( such as being a proper or a closed map) or, in the case of Finsler manifolds, some metric requirements (such as Hadamard integral condition).
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